Abstract
The density of liquid iron-nickel-sulfur (Fe46.5Ni28.5S25) alloy was determined at pressures up to 74 GPa and an average temperature of 3400 K via pair distribution function (PDF) analysis of synchrotron X‑ray diffraction (XRD) data obtained using laser-heated diamond-anvil cells. The determined density of liquid Fe46.5Ni28.5S25 at 74 GPa and 3400 K is 8.03(35) g/cm3, 15% lower than that of pure liquid Fe. The obtained density data were fitted to a third-order Vinet equation of state (EoS), and the determined isothermal bulk modulus and its pressure derivative at 24.6 GPa are KTPr = 110.5(250) GPa and K′TPr = 7.2(25), respectively, with a fixed density of rPr = 6.43 g/cm3 at 24.6 GPa. The change in the atomic volume of Fe46.5Ni28.5S25 upon melting was found to be ~10% at the melting temperature, a significantly larger value than that of pure Fe (~3%). Combined with the above EoS parameters and the thermal dependence reported in the literature, our data were extrapolated to the outer core conditions of the Earth. Assuming that S is the only light element and considering the range of suggested Ni content, we estimated a 5.3–6.6 wt% S content in the Earth’s outer core.
Acknowledgments and Funding
We thank Y. Nakajima for sample preparation and Y. Higo, Y. Tange, and S. Kawaguchi for their fruitful discussion and help in analysis. R. Sinmyo, H. Xu, S. Kamada, and an anonymous referee were helpful to improve the manuscript. XRD measurements using DAC and at ambient pressures were performed at the BL10XU (proposals no. 2014A0080, 2014A1127, 2016A1846, 2016B1954, 2016B1955, 2017B1977, 2018A2062, 2018B2109, 2019A1381, 2019B2094) and BL02B2 beamlines (proposals no. 2019B2086) of SPring-8.
References cited
Anderson, O.L., and Isaak, D.G. (2002) Another look at the core density deficit of Earth’s outer core. Physics of the Earth and Planetary Interiors, 131, 19–27.10.1016/S0031-9201(02)00017-1Search in Google Scholar
Angel, R. J. (2000) Equations of state. Reviews in Mineralogy and Geochemistry, 41, 35–59.10.1515/9781501508707-006Search in Google Scholar
Birch, F. (1961) The velocity of compressional waves in rocks to 10 kilobars: 2. Journal of Geophysical Research, 66, 2199–2224.10.1029/SP026p0091Search in Google Scholar
Dewaele, A., Loubeyre, P., Occelli, F., Mezouar, M., Dorogokupets, P., and Torrent, M. (2006) Quasihydrostatic equation of state of iron above 2 Mbar. Physical Review Letters, 97, 215504.10.1103/PhysRevLett.97.215504Search in Google Scholar
Dreibus, G., and Palme, H. (1996) Cosmochemical constraints on the sulfur content in the Earth’s core. Geochimica et Cosmochimica Acta, 60, 1125–1130.10.1016/0016-7037(96)00028-2Search in Google Scholar
Dreibus, G., and Wanke, H. (1985) Mars, a volatile-rich planet. Meteoritics, 20, 367–381.Search in Google Scholar
Dziewonski, A.M., and Anderson, D.L. (1981) Preliminary reference Earth model. Physics of the Earth and Planetary Interiors, 25, 297–356.10.1016/0031-9201(81)90046-7Search in Google Scholar
Eggert, J.H., Weck, G., Loubeyre, P., and Mezouar, M. (2002) Quantitative structure factor and density measurements of high-pressure fluids in diamond anvil cells by X-ray diffraction: Argon and water. Physical Review B, 65, 174105.10.1103/PhysRevB.65.174105Search in Google Scholar
Fei, Y., Bertka, C.M., and Finger, L.W. (1997) High-pressure iron-sulfur compound, Fe3S2, and melting relations in the Fe–FeS system. Science, 275, 1621–1623.10.1126/science.275.5306.1621Search in Google Scholar PubMed
Fei, Y., Li, J., Bertka, C.M., and Prewitt, C.T. (2000) Structure type and bulk modulus of Fe3S, a new iron-sulfur compound. American Mineralogist, 85, 1830–1833.10.2138/am-2000-11-1229Search in Google Scholar
Folkner, W.M., Dehant, V., Le Maistre, S., Yseboodt, M., Rivoldini, A., Van Hoolst, T., Asmar, S.W., and Golombek, M.P. (2018) The rotation and interior structure experiment on the InSight mission to Mars. Space Science Reviews, 214, 100.10.1007/s11214-018-0530-5Search in Google Scholar
Giardini, D., Lognonné, P., Banerdt, W.B., Pike, W.T., Christensen, U., Ceylan, S., Clinton, J.F., van Driel, M., Stähler, S.C., Böse, M., and others (2020) The seismicity of Mars. Nature Geoscience, 13, 205–212.10.1038/s41561-020-0539-8Search in Google Scholar
Hirao, N., Kawaguchi, S.I., Hirose, K., Shimizu, K., Ohtani, E., and Ohishi, Y. (2020) New developments in high-pressure X-ray diffraction beamline for diamond anvil cell at SPring-8. Matter and Radiation at Extremes, 5, 018403.10.1063/1.5126038Search in Google Scholar
Huang, H., Wu, S., Hu, X., Wang, Q., Wang, X., and Fei, Y. (2013) Shock compression of Fe-FeS mixture up to 204 GPa. Geophysical Research Letters, 40, 687–691.10.1002/grl.50180Search in Google Scholar
Kawaguchi, S.I., Nakajima, Y., Hirose, K., Komabayashi, T., Ozawa, H., Tateno, S., Kuwayama, Y., Tsutsui, S., and Baron, A.Q. (2017a) Sound velocity of liquid Fe-Ni-S at high pressure. Journal of Geophysical Research: Solid Earth, 122, 3624–3634.10.1002/2016JB013609Search in Google Scholar
Kawaguchi, S., Takemoto, M., Osaka, K., Nishibori, E., Moriyoshi, C., Kubota, Y., Kuroiwa, Y., and Sugimoto, K. (2017b) High-throughput powder diffraction measurement system consisting of multiple MYTHEN detectors at beamline BL02B2 of SPring-8. The Review of Scientific Instruments, 88, 085111.10.1063/1.4999454Search in Google Scholar
Krogh-Moe, J. (1956) A method for converting experimental X-ray intensities to an absolute scale. Acta Crystallographica, 9, 951–953.10.1107/S0365110X56002655Search in Google Scholar
Kuwayama, Y., Morard, G., Nakajima, Y., Hirose, K., Baron, A.Q.R., Kawaguchi, S.I., Tsuchiya, T., Ishikawa, D., Hirao, N., and Ohishi, Y. (2020) Equation of state of liquid iron under extreme conditions. Physical Review Letters, 124, 165701.10.1103/PhysRevLett.124.165701Search in Google Scholar
Li, J., Fei, Y., Mao, H.K., Hirose, K., and Shieh, S.R. (2001) Sulfur in the Earth’s inner core. Earth and Planetary Science Letters, 193.10.1016/S0012-821X(01)00521-0Search in Google Scholar
Mahan, B., Siebert, J., Pringle, E.A., and Moynier, F. (2017) Elemental partitioning and isotopic fractionation of Zn between metal and silicate and geochemical estimation of the S content of the Earth’s core. Geochimica et Cosmochimica Acta, 196, 252–270.10.1016/j.gca.2016.09.013Search in Google Scholar
Momma, K., and Izumi, F. (2011) VESTA 3 for three-dimensional visualization of crystal, volumetric and morphology data. Journal of Applied Crystallography, 44, 1272–1276.10.1107/S0021889811038970Search in Google Scholar
Morard, G., Sanloup, C., Fiquet, G., Mezouar, M., Rey, N., Poloni, R., and Beck, P. (2007) Structure of eutectic Fe–FeS melts to pressures up to 17 GPa: Implications for planetary cores. Earth and Planetary Science Letters, 263, 128–139.10.1016/j.epsl.2007.09.009Search in Google Scholar
Morard, G., Andrault, D., Guignot, N., Sanloup, C., Mezouar, M., Petitgirard, S., and Fiquet, G. (2008) In situ determination of Fe–Fe3S phase diagram and liquid structural properties up to 65 GPa. Earth and Planetary Science Letters, 272, 620–626.10.1016/j.epsl.2008.05.028Search in Google Scholar
Morard, G., Siebert, J., Andrault, D., Guignot, N., Garbarino, G., Guyot, F., and Antonangeli, D. (2013) The Earth’s core composition from high pressure density measurements of liquid iron alloys. Earth and Planetary Science Letters, 373, 169–178.10.1016/j.epsl.2013.04.040Search in Google Scholar
Morard, G., Bouchet, J., Rivoldini, A., Antonangeli, D., Roberge, M., Boulard, E., Denoeud, A., and Mezouar, M. (2018) Liquid properties in the Fe-FeS system under moderate pressure: Tool box to model small planetary cores. American Mineralogist, 103, 1770–1779.Search in Google Scholar
Mori, Y., Ozawa, H., Hirose, K., Sinmyo, R., Tateno, S., Morard, G., and Ohishi, Y. (2017) Melting experiments on Fe-Fe3S system to 254 GPa. Earth and Planetary Science Letters, 464, 135–141.10.1016/j.epsl.2017.02.021Search in Google Scholar
Murthy, V.R., and Hall, H.T. (1970) The chemical composition of the Earth’s core: Possibility of sulphur in the core. Physics of the Earth and Planetary Interiors, 2, 276–282.10.1016/0031-9201(70)90014-2Search in Google Scholar
Nishida, K., Ohtani, E., Urakawa, S., Suzuki, A., Sakamaki, T., Terasaki, H., and Katayama, Y. (2011) Density measurement of liquid FeS at high pressures using synchrotron X-ray absorption. American Mineralogist, 96, 864–868.10.2138/am.2011.3616Search in Google Scholar
Norman, N. (1957) The Fourier transform method for normalizing intensities. Acta Crystallographica, 10, 370–373.10.1107/S0365110X57001085Search in Google Scholar
Péters, M.J., Le Maistre, S., Yseboodt, M., Marty, J.C., Rivoldini, A., Van Hoolst, T., and Dehant, V. (2020) LaRa after RISE: Expected improvement in the Mars rotation and interior models. Planetary and Space Science, 180, 104745.10.1016/j.pss.2019.104745Search in Google Scholar
Petříček, V., Dušek, M., and Palatinus, L. (2014) Crystallographic computing system JANA2006: General features. Zeitschrift für Kristallographie—Crystalline Materials, 229, 345–352.10.1515/zkri-2014-1737Search in Google Scholar
Seto, Y., Nishio-Hamane, D., Nagai, T., and Sata, N. (2010) Development of a software suite on X-ray diffraction experiments. The Review of High Pressure Science and Technology, 20, 269–276.10.4131/jshpreview.20.269Search in Google Scholar
Stewart, A.J., Schmidt, M.W., van Westrenen, W., and Liebske, C. (2007) Mars: A new core-crystallization regime. Science, 316, 1323–1325.10.1126/science.1140549Search in Google Scholar PubMed
Sun, D.Y., Asta, M., and Hoyt, J.J. (2004) Crystal-melt interfacial free energies and mobilities in fcc and bcc Fe. Physical Review B, 69, 174103.10.1103/PhysRevB.69.174103Search in Google Scholar
Tateno, S., Komabayashi, T., Hirose, K., Hirao, N., and Ohishi, Y. (2019) Static compression of B2 KCl to 230 GPa and its PVT equation of state. American Mineralogist, 104, 718–723.10.2138/am-2019-6779Search in Google Scholar
Terasaki, H., Rivoldini, A., Shimoyama, Y., Nishida, K., Urakawa, S., Maki, M., Kurokawa, F., Takubo, Y., Shibazaki, Y., Sakamaki, T., and others (2019) Pressure and composition effects on sound velocity and density of core-forming liquids: Implication to core compositions of terrestrial planets. Journal of Geophysical Research: Planets, 124, 2272–2293.10.1029/2019JE005936Search in Google Scholar
Thompson, S., Komabayashi, T., Breton, H., Suehiro, S., Glazyrin, K., Pakhomova, A., and Ohishi, Y. (2020) Compression experiments to 126 GPa and 2500 K and thermal equation of state of Fe3S: Implications for sulphur in the Earth’s core. Earth and Planetary Science Letters, 534, 116080.10.1016/j.epsl.2020.116080Search in Google Scholar
Tsujino, N., Nishihara, Y., Nakajima, Y., Takahashi, E., Funakoshi, K.I., and Higo, Y. (2013) Equation of state of γ-Fe: Reference density for planetary cores. Earth and Planetary Science Letters, 375, 244–253.10.1016/j.epsl.2013.05.040Search in Google Scholar
Yoder, C.F., Konopliv, A.S., Yuan, D.N., Standish, E.M., and Folkner, W.M. (2003) Fluid core size of Mars from detection of the solar tide. Science, 300, 299–303.10.1126/science.1079645Search in Google Scholar PubMed
Endnote
1Deposit item AM-22-77924, Online Materials. Deposit items are free to all readers and found on the MSA website, via the specific issue’s Table of Contents (go to http://www.minsocam.org/MSA/AmMin/TOC/2022/Jul2022_data/Jul2022_data.html). The CIF has been peer reviewed by our Technical Editors.
© 2022 Mineralogical Society of America
Articles in the same Issue
- Highlights and Breakthroughs
- Mineral evolution heralds a new era for mineralogy
- MSA Review
- Pauling’s rules for oxide-based minerals: A re-examination based on quantum mechanical constraints and modern applications of bond-valence theory to Earth materials
- A cotunnite-type new high-pressure phase of Fe2S
- Density determination of liquid iron-nickel-sulfur at high pressure
- On the paragenetic modes of minerals: A mineral evolution perspective
- Lumping and splitting: Toward a classification of mineral natural kinds
- Thermal expansion of minerals in the amphibole supergroup
- A multi-faceted experimental study on the dynamic behavior of MgSiO3 glass in the Earth’s deep interior
- Origin of β-cristobalite in Libyan Desert Glass: The hottest naturally occurring silica polymorph?
- Time-resolved Raman and luminescence spectroscopy of synthetic REE-doped hydroxylapatites and natural apatites
- Reexamination of the structure of opal-A: A combined study of synchrotron X-ray diffraction and pair distribution function analysis
- A first-principles study of water in wadsleyite and ringwoodite: Implication for the 520 km discontinuity
- Inclusions in calcite phantom crystals suggest role of clay minerals in dolomite formation
- Crystal-chemical reinvestigation of probertite, CaNa[B5O7(OH)4]·3H2O, a mineral commodity of boron
- Crystal structure determination of orthorhombic variscite2O and its derivative AlPO4 structure at high temperature
- Transformation of Fe-bearing minerals from Dongsheng sandstone-type uranium deposit, Ordos Basin, north-central China: Implications for ore genesis
- Vaterite in a decrepitated diamond-bearing inclusion in zircon from a stromatic migmatite in the Chinese Sulu ultrahigh-pressure metamorphic belt
- Oxygen diffusion in garnet: Experimental calibration and implications for timescales of metamorphic processes and retention of primary O isotopic signatures
- Oxidation state of iron and Fe-Mg partitioning between olivine and basaltic martian melts
Articles in the same Issue
- Highlights and Breakthroughs
- Mineral evolution heralds a new era for mineralogy
- MSA Review
- Pauling’s rules for oxide-based minerals: A re-examination based on quantum mechanical constraints and modern applications of bond-valence theory to Earth materials
- A cotunnite-type new high-pressure phase of Fe2S
- Density determination of liquid iron-nickel-sulfur at high pressure
- On the paragenetic modes of minerals: A mineral evolution perspective
- Lumping and splitting: Toward a classification of mineral natural kinds
- Thermal expansion of minerals in the amphibole supergroup
- A multi-faceted experimental study on the dynamic behavior of MgSiO3 glass in the Earth’s deep interior
- Origin of β-cristobalite in Libyan Desert Glass: The hottest naturally occurring silica polymorph?
- Time-resolved Raman and luminescence spectroscopy of synthetic REE-doped hydroxylapatites and natural apatites
- Reexamination of the structure of opal-A: A combined study of synchrotron X-ray diffraction and pair distribution function analysis
- A first-principles study of water in wadsleyite and ringwoodite: Implication for the 520 km discontinuity
- Inclusions in calcite phantom crystals suggest role of clay minerals in dolomite formation
- Crystal-chemical reinvestigation of probertite, CaNa[B5O7(OH)4]·3H2O, a mineral commodity of boron
- Crystal structure determination of orthorhombic variscite2O and its derivative AlPO4 structure at high temperature
- Transformation of Fe-bearing minerals from Dongsheng sandstone-type uranium deposit, Ordos Basin, north-central China: Implications for ore genesis
- Vaterite in a decrepitated diamond-bearing inclusion in zircon from a stromatic migmatite in the Chinese Sulu ultrahigh-pressure metamorphic belt
- Oxygen diffusion in garnet: Experimental calibration and implications for timescales of metamorphic processes and retention of primary O isotopic signatures
- Oxidation state of iron and Fe-Mg partitioning between olivine and basaltic martian melts